A rectangular courtyard is 18 m 72 cm long and 13 m 20 cm broad . It is to be paved with square tiles of the same size . Find the least possible number of such tiles .
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Answer:
tiles required to cover the courtyard is 4290
Step-by-step explanation:
Length = 1872 cm
Width = 1320 cm
The edge of the square tile must be the common divisor of the dimensions of the courtyard.
So, maximum edge of square tile = HCF of 1872 and 1320 = 24 cm
So, required number of tiles = area of courtyard/ Area of square tile = 1872 x 1320/ (24)2 = 4290
Thus, the least number of tiles required to cover the courtyard is 4290.
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